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1063321041042 = 2321319743321889
BaseRepresentation
bin11110111100100101101…
…11110111100010010010
310202122121200010121002100
433132102313313202102
5114410140141303132
62132252152101230
7136552041502101
oct17362267674222
93678550117070
101063321041042
1137aa52009277
121520b4094816
1379369a94270
1439671dd2038
151c9d582637c
hexf792df7892

1063321041042 has 96 divisors (see below), whose sum is σ = 2615188867200. Its totient is φ = 309537801216.

The previous prime is 1063321041011. The next prime is 1063321041043. The reversal of 1063321041042 is 2401401233601.

It is a happy number.

1063321041042 is a `hidden beast` number, since 1 + 0 + 6 + 33 + 210 + 410 + 4 + 2 = 666.

It is a super-2 number, since 2×10633210410422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1063321040997 and 1063321041015.

It is not an unprimeable number, because it can be changed into a prime (1063321041043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3142434 + ... + 3464322.

It is an arithmetic number, because the mean of its divisors is an integer number (27241550700).

Almost surely, 21063321041042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063321041042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307594433600).

1063321041042 is an abundant number, since it is smaller than the sum of its proper divisors (1551867826158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1063321041042 is a wasteful number, since it uses less digits than its factorization.

1063321041042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322672 (or 322669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1063321041042 its reverse (2401401233601), we get a palindrome (3464722274643).

The spelling of 1063321041042 in words is "one trillion, sixty-three billion, three hundred twenty-one million, forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 743 1482 1486 2223 2229 4446 4458 6687 9659 13374 14117 19318 28234 28977 42351 57954 84702 86931 127053 173862 183521 254106 321889 367042 550563 643778 965667 1101126 1651689 1931334 2897001 3303378 4184557 5794002 6115891 8369114 12231782 12553671 18347673 25107342 36695346 37661013 55043019 75322026 79506583 110086038 159013166 238519749 239163527 477039498 478327054 715559247 717490581 1431118494 1434981162 2152471743 3109125851 4304943486 4544107013 6218251702 9088214026 9327377553 13632321039 18654755106 27264642078 27982132659 40896963117 55964265318 59073391169 81793926234 118146782338 177220173507 354440347014 531660520521 1063321041042